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Finding the Third Proportional to 35,234 and 77,029

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Solution

The third proportional to 35,234 and 77,029 is: 168,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,234 : 77,029 = 77,029 : x
  2. Step 2: Convert to fraction form
    35,234/77,029 = 77,029/x
  3. Step 3: Cross multiply
    35,234x = 77,029 × 77,029
  4. Step 4: Simplify right side
    35,234x = 5,933,466,841
  5. Step 5: Solve for x
    x = 5,933,466,841/35,234
  6. Step 6: Final answer
    x = 168,401.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.